Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$$\frac { x ^ { 2 } + 11 x y + 18 y ^ { 2 } } { x ^ { 2 } + 16 x y + 63 y ^ { 2 } }$$
A) $\frac { x + 2 y } { x + 7 y }$
B) $\frac { 11 x + 18 y } { 16 x + 63 y }$
C) cannot be simplified
D) $\frac { x + 7 y } { x + 2 y }$

Question

Quizplus · Accepted Answer

The numerator and denominator can both be factored as follows:$x^2 + 11xy + 18y^2 = (x + 2y)(x + 9y)$$x^2 + 16xy + 63y^2 = (x + 7y)(x + 9y)$Therefore, the rational expression can be simplified as follows:$\frac { x ^ { 2 } + 11 x y + 18 y ^ { 2 } } { x ^ { 2 } + 16 x y + 63 y ^ { 2 } } = \frac { ( x + 2 y ) ( x + 9 y ) } { ( x + 7 y ) ( x + 9 y ) } = \frac { x + 2 y } { x + 7 y }$

Simplify the Rational Expression x2+11xy+18y2x2+16xy+63y2\frac { x ^ { 2 } + 11 x y + 18 y ^ { 2 } } { x ^ { 2 } + 16 x y + 63 y ^ { 2 } }x2+16xy+63y2x2+11xy+18y2​

Simplify the Rational Expression $\frac { x ^ { 2 } + 11 x y + 18 y ^ { 2 } } { x ^ { 2 } + 16 x y + 63 y ^ { 2 } }$